791294560 has 96 divisors (see below), whose sum is σ = 2148975360. Its totient is φ = 269716992.

The previous prime is 791294531. The next prime is 791294579. The reversal of 791294560 is 65492197.

It is a happy number.

It is a super-2 number, since 2×791294560² = 1252294161371187200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198507 + ... + 202453.

It is an arithmetic number, because the mean of its divisors is an integer number (22385160).

Almost surely, 2^791294560 is an apocalyptic number.

791294560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791294560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074487680).

791294560 is an abundant number, since it is smaller than the sum of its proper divisors (1357680800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

791294560 is a wasteful number, since it uses less digits than its factorization.

791294560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 791294560 is about 28129.9584073635. The cubic root of 791294560 is about 924.9382223168.

The spelling of 791294560 in words is "seven hundred ninety-one million, two hundred ninety-four thousand, five hundred sixty".